| 1 | ! $Header$ |
|---|
| 2 | |
|---|
| 3 | ! ====================================================================== |
|---|
| 4 | SUBROUTINE nonlocal(knon, paprs, pplay, tsol, beta, u, v, t, q, cd_h, cd_m, & |
|---|
| 5 | pcfh, pcfm, cgh, cgq) |
|---|
| 6 | USE dimphy |
|---|
| 7 | USE lmdz_yoethf |
|---|
| 8 | USE lmdz_fcttre, ONLY: foeew, foede, qsats, qsatl, dqsats, dqsatl, thermcep |
|---|
| 9 | USE lmdz_yomcst |
|---|
| 10 | |
|---|
| 11 | IMPLICIT NONE |
|---|
| 12 | ! ====================================================================== |
|---|
| 13 | ! Laurent Li (LMD/CNRS), le 30 septembre 1998 |
|---|
| 14 | ! Couche limite non-locale. Adaptation du code du CCM3. |
|---|
| 15 | ! Code non teste, donc a ne pas utiliser. |
|---|
| 16 | ! ====================================================================== |
|---|
| 17 | ! Nonlocal scheme that determines eddy diffusivities based on a |
|---|
| 18 | ! diagnosed boundary layer height and a turbulent velocity scale. |
|---|
| 19 | ! Also countergradient effects for heat and moisture are included. |
|---|
| 20 | |
|---|
| 21 | ! For more information, see Holtslag, A.A.M., and B.A. Boville, 1993: |
|---|
| 22 | ! Local versus nonlocal boundary-layer diffusion in a global climate |
|---|
| 23 | ! model. J. of Climate, vol. 6, 1825-1842. |
|---|
| 24 | ! ====================================================================== |
|---|
| 25 | |
|---|
| 26 | ! Arguments: |
|---|
| 27 | |
|---|
| 28 | INTEGER knon ! nombre de points a calculer |
|---|
| 29 | REAL tsol(klon) ! temperature du sol (K) |
|---|
| 30 | REAL beta(klon) ! efficacite d'evaporation (entre 0 et 1) |
|---|
| 31 | REAL paprs(klon, klev + 1) ! pression a inter-couche (Pa) |
|---|
| 32 | REAL pplay(klon, klev) ! pression au milieu de couche (Pa) |
|---|
| 33 | REAL u(klon, klev) ! vitesse U (m/s) |
|---|
| 34 | REAL v(klon, klev) ! vitesse V (m/s) |
|---|
| 35 | REAL t(klon, klev) ! temperature (K) |
|---|
| 36 | REAL q(klon, klev) ! vapeur d'eau (kg/kg) |
|---|
| 37 | REAL cd_h(klon) ! coefficient de friction au sol pour chaleur |
|---|
| 38 | REAL cd_m(klon) ! coefficient de friction au sol pour vitesse |
|---|
| 39 | |
|---|
| 40 | INTEGER isommet |
|---|
| 41 | REAL vk |
|---|
| 42 | PARAMETER (vk = 0.40) |
|---|
| 43 | REAL ricr |
|---|
| 44 | PARAMETER (ricr = 0.4) |
|---|
| 45 | REAL fak |
|---|
| 46 | PARAMETER (fak = 8.5) |
|---|
| 47 | REAL fakn |
|---|
| 48 | PARAMETER (fakn = 7.2) |
|---|
| 49 | REAL onet |
|---|
| 50 | PARAMETER (onet = 1.0 / 3.0) |
|---|
| 51 | REAL t_coup |
|---|
| 52 | PARAMETER (t_coup = 273.15) |
|---|
| 53 | REAL zkmin |
|---|
| 54 | PARAMETER (zkmin = 0.01) |
|---|
| 55 | REAL betam |
|---|
| 56 | PARAMETER (betam = 15.0) |
|---|
| 57 | REAL betah |
|---|
| 58 | PARAMETER (betah = 15.0) |
|---|
| 59 | REAL betas |
|---|
| 60 | PARAMETER (betas = 5.0) |
|---|
| 61 | REAL sffrac |
|---|
| 62 | PARAMETER (sffrac = 0.1) |
|---|
| 63 | REAL binm |
|---|
| 64 | PARAMETER (binm = betam * sffrac) |
|---|
| 65 | REAL binh |
|---|
| 66 | PARAMETER (binh = betah * sffrac) |
|---|
| 67 | REAL ccon |
|---|
| 68 | PARAMETER (ccon = fak * sffrac * vk) |
|---|
| 69 | |
|---|
| 70 | REAL z(klon, klev) |
|---|
| 71 | REAL pcfm(klon, klev), pcfh(klon, klev) |
|---|
| 72 | |
|---|
| 73 | INTEGER i, k |
|---|
| 74 | REAL zxt, zxq, zxu, zxv, zxmod, taux, tauy |
|---|
| 75 | REAL zx_alf1, zx_alf2 ! parametres pour extrapolation |
|---|
| 76 | REAL khfs(klon) ! surface kinematic heat flux [mK/s] |
|---|
| 77 | REAL kqfs(klon) ! sfc kinematic constituent flux [m/s] |
|---|
| 78 | REAL heatv(klon) ! surface virtual heat flux |
|---|
| 79 | REAL ustar(klon) |
|---|
| 80 | REAL rino(klon, klev) ! bulk Richardon no. from level to ref lev |
|---|
| 81 | LOGICAL unstbl(klon) ! pts w/unstbl pbl (positive virtual ht flx) |
|---|
| 82 | LOGICAL stblev(klon) ! stable pbl with levels within pbl |
|---|
| 83 | LOGICAL unslev(klon) ! unstbl pbl with levels within pbl |
|---|
| 84 | LOGICAL unssrf(klon) ! unstb pbl w/lvls within srf pbl lyr |
|---|
| 85 | LOGICAL unsout(klon) ! unstb pbl w/lvls in outer pbl lyr |
|---|
| 86 | LOGICAL check(klon) ! True=>chk if Richardson no.>critcal |
|---|
| 87 | REAL pblh(klon) |
|---|
| 88 | REAL cgh(klon, 2:klev) ! counter-gradient term for heat [K/m] |
|---|
| 89 | REAL cgq(klon, 2:klev) ! counter-gradient term for constituents |
|---|
| 90 | REAL cgs(klon, 2:klev) ! counter-gradient star (cg/flux) |
|---|
| 91 | REAL obklen(klon) |
|---|
| 92 | REAL ztvd, ztvu, zdu2 |
|---|
| 93 | REAL therm(klon) ! thermal virtual temperature excess |
|---|
| 94 | REAL phiminv(klon) ! inverse phi function for momentum |
|---|
| 95 | REAL phihinv(klon) ! inverse phi function for heat |
|---|
| 96 | REAL wm(klon) ! turbulent velocity scale for momentum |
|---|
| 97 | REAL fak1(klon) ! k*ustar*pblh |
|---|
| 98 | REAL fak2(klon) ! k*wm*pblh |
|---|
| 99 | REAL fak3(klon) ! fakn*wstr/wm |
|---|
| 100 | REAL pblk(klon) ! level eddy diffusivity for momentum |
|---|
| 101 | REAL pr(klon) ! Prandtl number for eddy diffusivities |
|---|
| 102 | REAL zl(klon) ! zmzp / Obukhov length |
|---|
| 103 | REAL zh(klon) ! zmzp / pblh |
|---|
| 104 | REAL zzh(klon) ! (1-(zmzp/pblh))**2 |
|---|
| 105 | REAL wstr(klon) ! w*, convective velocity scale |
|---|
| 106 | REAL zm(klon) ! current level height |
|---|
| 107 | REAL zp(klon) ! current level height + one level up |
|---|
| 108 | REAL zcor, zdelta, zcvm5, zxqs |
|---|
| 109 | REAL fac, pblmin, zmzp, term |
|---|
| 110 | |
|---|
| 111 | ! Initialisation |
|---|
| 112 | |
|---|
| 113 | isommet = klev |
|---|
| 114 | |
|---|
| 115 | DO i = 1, klon |
|---|
| 116 | pcfh(i, 1) = cd_h(i) |
|---|
| 117 | pcfm(i, 1) = cd_m(i) |
|---|
| 118 | END DO |
|---|
| 119 | DO k = 2, klev |
|---|
| 120 | DO i = 1, klon |
|---|
| 121 | pcfh(i, k) = zkmin |
|---|
| 122 | pcfm(i, k) = zkmin |
|---|
| 123 | cgs(i, k) = 0.0 |
|---|
| 124 | cgh(i, k) = 0.0 |
|---|
| 125 | cgq(i, k) = 0.0 |
|---|
| 126 | END DO |
|---|
| 127 | END DO |
|---|
| 128 | |
|---|
| 129 | ! Calculer les hauteurs de chaque couche |
|---|
| 130 | |
|---|
| 131 | DO i = 1, knon |
|---|
| 132 | z(i, 1) = rd * t(i, 1) / (0.5 * (paprs(i, 1) + pplay(i, 1))) * (paprs(i, 1) - pplay(i, 1) & |
|---|
| 133 | ) / rg |
|---|
| 134 | END DO |
|---|
| 135 | DO k = 2, klev |
|---|
| 136 | DO i = 1, knon |
|---|
| 137 | z(i, k) = z(i, k - 1) + rd * 0.5 * (t(i, k - 1) + t(i, k)) / paprs(i, k) * (pplay(i, k - 1 & |
|---|
| 138 | ) - pplay(i, k)) / rg |
|---|
| 139 | END DO |
|---|
| 140 | END DO |
|---|
| 141 | |
|---|
| 142 | DO i = 1, knon |
|---|
| 143 | IF (thermcep) THEN |
|---|
| 144 | zdelta = max(0., sign(1., rtt - tsol(i))) |
|---|
| 145 | zcvm5 = r5les * rlvtt * (1. - zdelta) + r5ies * rlstt * zdelta |
|---|
| 146 | zcvm5 = zcvm5 / rcpd / (1.0 + rvtmp2 * q(i, 1)) |
|---|
| 147 | zxqs = r2es * foeew(tsol(i), zdelta) / paprs(i, 1) |
|---|
| 148 | zxqs = min(0.5, zxqs) |
|---|
| 149 | zcor = 1. / (1. - retv * zxqs) |
|---|
| 150 | zxqs = zxqs * zcor |
|---|
| 151 | ELSE |
|---|
| 152 | IF (tsol(i)<t_coup) THEN |
|---|
| 153 | zxqs = qsats(tsol(i)) / paprs(i, 1) |
|---|
| 154 | ELSE |
|---|
| 155 | zxqs = qsatl(tsol(i)) / paprs(i, 1) |
|---|
| 156 | END IF |
|---|
| 157 | END IF |
|---|
| 158 | zx_alf1 = 1.0 |
|---|
| 159 | zx_alf2 = 1.0 - zx_alf1 |
|---|
| 160 | zxt = (t(i, 1) + z(i, 1) * rg / rcpd / (1. + rvtmp2 * q(i, 1))) * (1. + retv * q(i, 1)) * zx_alf1 & |
|---|
| 161 | + (t(i, 2) + z(i, 2) * rg / rcpd / (1. + rvtmp2 * q(i, 2))) * (1. + retv * q(i, 2)) * zx_alf2 |
|---|
| 162 | zxu = u(i, 1) * zx_alf1 + u(i, 2) * zx_alf2 |
|---|
| 163 | zxv = v(i, 1) * zx_alf1 + v(i, 2) * zx_alf2 |
|---|
| 164 | zxq = q(i, 1) * zx_alf1 + q(i, 2) * zx_alf2 |
|---|
| 165 | zxmod = 1.0 + sqrt(zxu**2 + zxv**2) |
|---|
| 166 | khfs(i) = (tsol(i) * (1. + retv * q(i, 1)) - zxt) * zxmod * cd_h(i) |
|---|
| 167 | kqfs(i) = (zxqs - zxq) * zxmod * cd_h(i) * beta(i) |
|---|
| 168 | heatv(i) = khfs(i) + 0.61 * zxt * kqfs(i) |
|---|
| 169 | taux = zxu * zxmod * cd_m(i) |
|---|
| 170 | tauy = zxv * zxmod * cd_m(i) |
|---|
| 171 | ustar(i) = sqrt(taux**2 + tauy**2) |
|---|
| 172 | ustar(i) = max(sqrt(ustar(i)), 0.01) |
|---|
| 173 | END DO |
|---|
| 174 | |
|---|
| 175 | DO i = 1, knon |
|---|
| 176 | rino(i, 1) = 0.0 |
|---|
| 177 | check(i) = .TRUE. |
|---|
| 178 | pblh(i) = z(i, 1) |
|---|
| 179 | obklen(i) = -t(i, 1) * ustar(i)**3 / (rg * vk * heatv(i)) |
|---|
| 180 | END DO |
|---|
| 181 | |
|---|
| 182 | |
|---|
| 183 | ! PBL height calculation: |
|---|
| 184 | ! Search for level of pbl. Scan upward until the Richardson number between |
|---|
| 185 | ! the first level and the current level exceeds the "critical" value. |
|---|
| 186 | |
|---|
| 187 | fac = 100.0 |
|---|
| 188 | DO k = 1, isommet |
|---|
| 189 | DO i = 1, knon |
|---|
| 190 | IF (check(i)) THEN |
|---|
| 191 | zdu2 = (u(i, k) - u(i, 1))**2 + (v(i, k) - v(i, 1))**2 + fac * ustar(i)**2 |
|---|
| 192 | zdu2 = max(zdu2, 1.0E-20) |
|---|
| 193 | ztvd = (t(i, k) + z(i, k) * 0.5 * rg / rcpd / (1. + rvtmp2 * q(i, & |
|---|
| 194 | k))) * (1. + retv * q(i, k)) |
|---|
| 195 | ztvu = (t(i, 1) - z(i, k) * 0.5 * rg / rcpd / (1. + rvtmp2 * q(i, & |
|---|
| 196 | 1))) * (1. + retv * q(i, 1)) |
|---|
| 197 | rino(i, k) = (z(i, k) - z(i, 1)) * rg * (ztvd - ztvu) / (zdu2 * 0.5 * (ztvd + ztvu)) |
|---|
| 198 | IF (rino(i, k)>=ricr) THEN |
|---|
| 199 | pblh(i) = z(i, k - 1) + (z(i, k - 1) - z(i, k)) * (ricr - rino(i, k - 1)) / (rino(i, & |
|---|
| 200 | k - 1) - rino(i, k)) |
|---|
| 201 | check(i) = .FALSE. |
|---|
| 202 | END IF |
|---|
| 203 | END IF |
|---|
| 204 | END DO |
|---|
| 205 | END DO |
|---|
| 206 | |
|---|
| 207 | |
|---|
| 208 | ! Set pbl height to maximum value where computation exceeds number of |
|---|
| 209 | ! layers allowed |
|---|
| 210 | |
|---|
| 211 | DO i = 1, knon |
|---|
| 212 | IF (check(i)) pblh(i) = z(i, isommet) |
|---|
| 213 | END DO |
|---|
| 214 | |
|---|
| 215 | ! Improve estimate of pbl height for the unstable points. |
|---|
| 216 | ! Find unstable points (sensible heat flux is upward): |
|---|
| 217 | |
|---|
| 218 | DO i = 1, knon |
|---|
| 219 | IF (heatv(i)>0.) THEN |
|---|
| 220 | unstbl(i) = .TRUE. |
|---|
| 221 | check(i) = .TRUE. |
|---|
| 222 | ELSE |
|---|
| 223 | unstbl(i) = .FALSE. |
|---|
| 224 | check(i) = .FALSE. |
|---|
| 225 | END IF |
|---|
| 226 | END DO |
|---|
| 227 | |
|---|
| 228 | ! For the unstable case, compute velocity scale and the |
|---|
| 229 | ! convective temperature excess: |
|---|
| 230 | |
|---|
| 231 | DO i = 1, knon |
|---|
| 232 | IF (check(i)) THEN |
|---|
| 233 | phiminv(i) = (1. - binm * pblh(i) / obklen(i))**onet |
|---|
| 234 | wm(i) = ustar(i) * phiminv(i) |
|---|
| 235 | therm(i) = heatv(i) * fak / wm(i) |
|---|
| 236 | rino(i, 1) = 0.0 |
|---|
| 237 | END IF |
|---|
| 238 | END DO |
|---|
| 239 | |
|---|
| 240 | ! Improve pblh estimate for unstable conditions using the |
|---|
| 241 | ! convective temperature excess: |
|---|
| 242 | |
|---|
| 243 | DO k = 1, isommet |
|---|
| 244 | DO i = 1, knon |
|---|
| 245 | IF (check(i)) THEN |
|---|
| 246 | zdu2 = (u(i, k) - u(i, 1))**2 + (v(i, k) - v(i, 1))**2 + fac * ustar(i)**2 |
|---|
| 247 | zdu2 = max(zdu2, 1.0E-20) |
|---|
| 248 | ztvd = (t(i, k) + z(i, k) * 0.5 * rg / rcpd / (1. + rvtmp2 * q(i, & |
|---|
| 249 | k))) * (1. + retv * q(i, k)) |
|---|
| 250 | ztvu = (t(i, 1) + therm(i) - z(i, k) * 0.5 * rg / rcpd / (1. + rvtmp2 * q(i, & |
|---|
| 251 | 1))) * (1. + retv * q(i, 1)) |
|---|
| 252 | rino(i, k) = (z(i, k) - z(i, 1)) * rg * (ztvd - ztvu) / (zdu2 * 0.5 * (ztvd + ztvu)) |
|---|
| 253 | IF (rino(i, k)>=ricr) THEN |
|---|
| 254 | pblh(i) = z(i, k - 1) + (z(i, k - 1) - z(i, k)) * (ricr - rino(i, k - 1)) / (rino(i, & |
|---|
| 255 | k - 1) - rino(i, k)) |
|---|
| 256 | check(i) = .FALSE. |
|---|
| 257 | END IF |
|---|
| 258 | END IF |
|---|
| 259 | END DO |
|---|
| 260 | END DO |
|---|
| 261 | |
|---|
| 262 | ! Set pbl height to maximum value where computation exceeds number of |
|---|
| 263 | ! layers allowed |
|---|
| 264 | |
|---|
| 265 | DO i = 1, knon |
|---|
| 266 | IF (check(i)) pblh(i) = z(i, isommet) |
|---|
| 267 | END DO |
|---|
| 268 | |
|---|
| 269 | ! Points for which pblh exceeds number of pbl layers allowed; |
|---|
| 270 | ! set to maximum |
|---|
| 271 | |
|---|
| 272 | DO i = 1, knon |
|---|
| 273 | IF (check(i)) pblh(i) = z(i, isommet) |
|---|
| 274 | END DO |
|---|
| 275 | |
|---|
| 276 | ! PBL height must be greater than some minimum mechanical mixing depth |
|---|
| 277 | ! Several investigators have proposed minimum mechanical mixing depth |
|---|
| 278 | ! relationships as a function of the local friction velocity, u*. We |
|---|
| 279 | ! make use of a linear relationship of the form h = c u* where c=700. |
|---|
| 280 | ! The scaling arguments that give rise to this relationship most often |
|---|
| 281 | ! represent the coefficient c as some constant over the local coriolis |
|---|
| 282 | ! parameter. Here we make use of the experimental results of Koracin |
|---|
| 283 | ! and Berkowicz (1988) [BLM, Vol 43] for wich they recommend 0.07/f |
|---|
| 284 | ! where f was evaluated at 39.5 N and 52 N. Thus we use a typical mid |
|---|
| 285 | ! latitude value for f so that c = 0.07/f = 700. |
|---|
| 286 | |
|---|
| 287 | DO i = 1, knon |
|---|
| 288 | pblmin = 700.0 * ustar(i) |
|---|
| 289 | pblh(i) = max(pblh(i), pblmin) |
|---|
| 290 | END DO |
|---|
| 291 | |
|---|
| 292 | ! pblh is now available; do preparation for diffusivity calculation: |
|---|
| 293 | |
|---|
| 294 | DO i = 1, knon |
|---|
| 295 | pblk(i) = 0.0 |
|---|
| 296 | fak1(i) = ustar(i) * pblh(i) * vk |
|---|
| 297 | |
|---|
| 298 | ! Do additional preparation for unstable cases only, set temperature |
|---|
| 299 | ! and moisture perturbations depending on stability. |
|---|
| 300 | |
|---|
| 301 | IF (unstbl(i)) THEN |
|---|
| 302 | zxt = (t(i, 1) - z(i, 1) * 0.5 * rg / rcpd / (1. + rvtmp2 * q(i, 1))) * (1. + retv * q(i, 1)) |
|---|
| 303 | phiminv(i) = (1. - binm * pblh(i) / obklen(i))**onet |
|---|
| 304 | phihinv(i) = sqrt(1. - binh * pblh(i) / obklen(i)) |
|---|
| 305 | wm(i) = ustar(i) * phiminv(i) |
|---|
| 306 | fak2(i) = wm(i) * pblh(i) * vk |
|---|
| 307 | wstr(i) = (heatv(i) * rg * pblh(i) / zxt)**onet |
|---|
| 308 | fak3(i) = fakn * wstr(i) / wm(i) |
|---|
| 309 | END IF |
|---|
| 310 | END DO |
|---|
| 311 | |
|---|
| 312 | ! Main level loop to compute the diffusivities and |
|---|
| 313 | ! counter-gradient terms: |
|---|
| 314 | |
|---|
| 315 | DO k = 2, isommet |
|---|
| 316 | |
|---|
| 317 | ! Find levels within boundary layer: |
|---|
| 318 | |
|---|
| 319 | DO i = 1, knon |
|---|
| 320 | unslev(i) = .FALSE. |
|---|
| 321 | stblev(i) = .FALSE. |
|---|
| 322 | zm(i) = z(i, k - 1) |
|---|
| 323 | zp(i) = z(i, k) |
|---|
| 324 | IF (zkmin==0.0 .AND. zp(i)>pblh(i)) zp(i) = pblh(i) |
|---|
| 325 | IF (zm(i)<pblh(i)) THEN |
|---|
| 326 | zmzp = 0.5 * (zm(i) + zp(i)) |
|---|
| 327 | zh(i) = zmzp / pblh(i) |
|---|
| 328 | zl(i) = zmzp / obklen(i) |
|---|
| 329 | zzh(i) = 0. |
|---|
| 330 | IF (zh(i)<=1.0) zzh(i) = (1. - zh(i))**2 |
|---|
| 331 | |
|---|
| 332 | ! stblev for points zm < plbh and stable and neutral |
|---|
| 333 | ! unslev for points zm < plbh and unstable |
|---|
| 334 | |
|---|
| 335 | IF (unstbl(i)) THEN |
|---|
| 336 | unslev(i) = .TRUE. |
|---|
| 337 | ELSE |
|---|
| 338 | stblev(i) = .TRUE. |
|---|
| 339 | END IF |
|---|
| 340 | END IF |
|---|
| 341 | END DO |
|---|
| 342 | |
|---|
| 343 | ! Stable and neutral points; set diffusivities; counter-gradient |
|---|
| 344 | ! terms zero for stable case: |
|---|
| 345 | |
|---|
| 346 | DO i = 1, knon |
|---|
| 347 | IF (stblev(i)) THEN |
|---|
| 348 | IF (zl(i)<=1.) THEN |
|---|
| 349 | pblk(i) = fak1(i) * zh(i) * zzh(i) / (1. + betas * zl(i)) |
|---|
| 350 | ELSE |
|---|
| 351 | pblk(i) = fak1(i) * zh(i) * zzh(i) / (betas + zl(i)) |
|---|
| 352 | END IF |
|---|
| 353 | pcfm(i, k) = pblk(i) |
|---|
| 354 | pcfh(i, k) = pcfm(i, k) |
|---|
| 355 | END IF |
|---|
| 356 | END DO |
|---|
| 357 | |
|---|
| 358 | ! unssrf, unstable within surface layer of pbl |
|---|
| 359 | ! unsout, unstable within outer layer of pbl |
|---|
| 360 | |
|---|
| 361 | DO i = 1, knon |
|---|
| 362 | unssrf(i) = .FALSE. |
|---|
| 363 | unsout(i) = .FALSE. |
|---|
| 364 | IF (unslev(i)) THEN |
|---|
| 365 | IF (zh(i)<sffrac) THEN |
|---|
| 366 | unssrf(i) = .TRUE. |
|---|
| 367 | ELSE |
|---|
| 368 | unsout(i) = .TRUE. |
|---|
| 369 | END IF |
|---|
| 370 | END IF |
|---|
| 371 | END DO |
|---|
| 372 | |
|---|
| 373 | ! Unstable for surface layer; counter-gradient terms zero |
|---|
| 374 | |
|---|
| 375 | DO i = 1, knon |
|---|
| 376 | IF (unssrf(i)) THEN |
|---|
| 377 | term = (1. - betam * zl(i))**onet |
|---|
| 378 | pblk(i) = fak1(i) * zh(i) * zzh(i) * term |
|---|
| 379 | pr(i) = term / sqrt(1. - betah * zl(i)) |
|---|
| 380 | END IF |
|---|
| 381 | END DO |
|---|
| 382 | |
|---|
| 383 | ! Unstable for outer layer; counter-gradient terms non-zero: |
|---|
| 384 | |
|---|
| 385 | DO i = 1, knon |
|---|
| 386 | IF (unsout(i)) THEN |
|---|
| 387 | pblk(i) = fak2(i) * zh(i) * zzh(i) |
|---|
| 388 | cgs(i, k) = fak3(i) / (pblh(i) * wm(i)) |
|---|
| 389 | cgh(i, k) = khfs(i) * cgs(i, k) |
|---|
| 390 | pr(i) = phiminv(i) / phihinv(i) + ccon * fak3(i) / fak |
|---|
| 391 | cgq(i, k) = kqfs(i) * cgs(i, k) |
|---|
| 392 | END IF |
|---|
| 393 | END DO |
|---|
| 394 | |
|---|
| 395 | ! For all unstable layers, set diffusivities |
|---|
| 396 | |
|---|
| 397 | DO i = 1, knon |
|---|
| 398 | IF (unslev(i)) THEN |
|---|
| 399 | pcfm(i, k) = pblk(i) |
|---|
| 400 | pcfh(i, k) = pblk(i) / pr(i) |
|---|
| 401 | END IF |
|---|
| 402 | END DO |
|---|
| 403 | END DO ! end of level loop |
|---|
| 404 | |
|---|
| 405 | END SUBROUTINE nonlocal |
|---|
